From the given question:
If h(x) is the inverse of f(x), then the value of h(f(x)) will be x
For example:
[tex]\begin{gathered} f(x)=3x+4 \\ h(x)=\frac{x-4}{3} \\ h(f(x))=h(3x+4) \\ =\frac{(3x+4-4)}{3} \\ =\frac{3x}{3} \\ =x \end{gathered}[/tex]
Hence, the correct option is C.
